SOLUTION: Example: Please help me solve this equation: {{{ x^4+2x^3-2x-1=0 }}}.
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Question 113506: Example: Please help me solve this equation: .
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve this equation: x^4+2x^3-2x-1=0
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The coefficients add up to zero so x=1 is a root.
Use synthetic division to find the other factors:
1)....1....2....0....-2....-1
-1...1....3....3.....1..|..0
......1....2....1..|..0
Factors: (x+1) and (x-1)
Quotient: x^2+2x+1
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Factor the Quotient to get: (x+1)^2
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Final solution:
(x-1)(x+1)^3 = 0
Zeroes:
x=1
x=-1 with multiplicity 3
=================
Cheers,
Stan H.
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